%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : SWW392+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sun Sep 27 09:11:48 AM UTC 2026
% Result : Theorem 55.75s 19.30s
% Output : CNFRefutation 55.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 16 ( 9 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 40 ( 4 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_hoare__derivs_OSkip,axiom,
! [X0,X1,X2] : 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X2,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X2)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X2),X0),'c$uCom$uOcom$uOSKIP'),X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X2),'tc$uHOL$uObool')))) ).
fof(fact_conseq2,axiom,
! [X0,X1,X2,X3,X4,X5] :
( 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X5,X4,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X5)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X5),X3),X2),X1)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X5),'tc$uHOL$uObool'))))
=> ( ! [X6,X7] :
( hBOOL(hAPP(hAPP(X1,X6),X7))
=> hBOOL(hAPP(hAPP(X0,X6),X7)) )
=> 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X5,X4,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X5)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X5),X3),X2),X0)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X5),'tc$uHOL$uObool')))) ) ) ).
fof(conj_0,hypothesis,
! [X0,X1] :
( hBOOL(hAPP(hAPP('v$uP',X0),X1))
=> hBOOL(hAPP(hAPP('v$uQ',X0),X1)) ) ).
fof(conj_1,conjecture,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),'c$uCom$uOcom$uOSKIP'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))) ).
fof(negated_conjecture,negated_conjecture,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),'c$uCom$uOcom$uOSKIP'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(negate_conjecture,[status(cth)],[conj_1]) ).
cnf(c2,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),'c$uCom$uOcom$uOSKIP'),X2)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[fact_hoare__derivs_OSkip]) ).
cnf(c22,plain,
( hBOOL(hAPP(hAPP(X4,sK52(X5,X4)),sK53(X5,X4)))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),X3),X5)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool'))))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),X3),X4)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))) ),
inference(clausification,[status(esa)],[fact_conseq2]) ).
cnf(c23,plain,
( ~ hBOOL(hAPP(hAPP(X5,sK52(X5,X4)),sK53(X5,X4)))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),X3),X5)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool'))))
| ~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),X3),X4)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))) ),
inference(clausification,[status(esa)],[fact_conseq2]) ).
cnf(c153,plain,
( hBOOL(hAPP(hAPP('v$uQ',X0),X1))
| ~ hBOOL(hAPP(hAPP('v$uP',X0),X1)) ),
inference(clausification,[status(esa)],[conj_0]) ).
cnf(c154,plain,
~ 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'('t$ua','v$uG',hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua')),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'('t$ua'),'v$uP'),'c$uCom$uOcom$uOSKIP'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'('t$ua'),'tc$uHOL$uObool')))),
inference(clausification,[status(esa)],[negated_conjecture]) ).
cnf(d0,plain,
( ~ hBOOL(hAPP(hAPP(X3,sK52(X3,X2)),sK53(X3,X2)))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),'c$uCom$uOcom$uOSKIP'),X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))) ),
inference(resolution,[status(thm)],[c23,c2]) ).
cnf(d1,plain,
( hBOOL(hAPP(hAPP(X2,sK52(X3,X2)),sK53(X3,X2)))
| 'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),X2),'c$uCom$uOcom$uOSKIP'),X3)),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))) ),
inference(resolution,[status(thm)],[c22,c2]) ).
cnf(d2,plain,
hBOOL(hAPP(hAPP('v$uP',sK52('v$uQ','v$uP')),sK53('v$uQ','v$uP'))),
inference(resolution,[status(thm)],[d1,c154]) ).
cnf(d3,plain,
hBOOL(hAPP(hAPP('v$uQ',sK52('v$uQ','v$uP')),sK53('v$uQ','v$uP'))),
inference(resolution,[status(thm)],[d2,c153]) ).
cnf(d4,plain,
'c$uHoare$u$uMirabelle$uOhoare$u$uderivs'(X0,X1,hAPP(hAPP('c$uSet$uOinsert'('tc$uHoare$u$uMirabelle$uOtriple'(X0)),hAPP(hAPP(hAPP('c$uHoare$u$uMirabelle$uOtriple$uOtriple'(X0),'v$uP'),'c$uCom$uOcom$uOSKIP'),'v$uQ')),'c$uOrderings$uObot$u$uclass$uObot'('tc$ufun'('tc$uHoare$u$uMirabelle$uOtriple'(X0),'tc$uHOL$uObool')))),
inference(resolution,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
$false,
inference(resolution,[status(thm)],[d4,c154]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW392+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/5.40 % Computer : n009.cluster.edu
% 0.13/5.40 % Model : x86_64 x86_64
% 0.13/5.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/5.40 % Memory : 8046.5625MB
% 0.13/5.40 % OS : Linux 6.8.0-71-generic
% 0.13/5.40 % CPULimit : 300
% 0.13/5.40 % WCLimit : 300
% 0.13/5.40 % DateTime : Sat Sep 26 15:48:34 UTC 2026
% 0.13/5.40 % CPUTime :
% 0.13/5.41 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 55.75/19.30 % SZS status Theorem for theBenchmark.p
% 55.75/19.30 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------